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Re: How can I evaluate this statement?

• To: mathgroup at smc.vnet.net
• Subject: [mg89955] Re: [mg89895] How can I evaluate this statement?
• From: DrMajorBob <drmajorbob at att.net>
• Date: Wed, 25 Jun 2008 06:26:26 -0400 (EDT)
• References: <11147203.1214293937490.JavaMail.root@m08>
• Reply-to: drmajorbob at longhorns.com

Possibly this is of help:

Reduce[a^2 > b^2 && a > b]

(b <= 0 && a > -b) || (b > 0 && a > b)

or

Reduce[a^2 > b^2]

b \[Element] Reals && (a < -Sqrt[b^2] || a > Sqrt[b^2])

or

Reduce[a^2 > b^2, Reals]

a < -Sqrt[b^2] || a > Sqrt[b^2]

Bobby

On Tue, 24 Jun 2008 02:26:32 -0500, pircdefense <gregthaopenny at gvtc.com>  
wrote:

> I'm trying to show for all real numbers whether the following statement  
> is true or false:
>
> If a > b, then a^2 > b^2. I've tried various syntax and configurations  
> in Mathematica, but I can't get it to report true or false. Can anyone  
> offer a solution?
>
>



-- 
DrMajorBob at longhorns.com